A bottling plant needs to know how to report its successin filling 2-liter (2 L) bottles. From previous work, they knowthat the population standard deviation is ±0.05 L.
a. For this part, assume an “infiniteâ€population. They sample 35 bottles and obtain a samplemean of 1.99 L. For 95% confidence, what is the estimate of therange of the population mean?
b. For this part, assume an “infiniteâ€population. If they desire an estimate of the interval forthe population mean that is ±0.01 L, how many samples do they needto examine (with 95% confidence).
